Ground States of Nonlocal Fractional Schrodinger Equations with Potentials Well

被引：3

作者：

Xue, Ye ^{[1
]}

Wei, Yunlan ^{[2
]}

机构：

[1] Changzhou Univ, Dept Math, Changzhou 213164, Jiangsu, Peoples R China

[2] Linyi Univ, Sch Math & Stat, Linyi 276000, Shandong, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2022年

关键词：

fractional Schr?dinger equation; variational methods; linking theorem; MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.11650/tjm/220602

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Inspired by Alves and Souto [2], we investigate the existence of nontrivial solutions to a class of fractional Schr??dinger equations with potentials well. Taking the superlinear nonlinearities into consideration, we obtain the existence of nontrivial solutions by loosing monotonicity. Furthermore, a ground state solution is established.

引用

页码：1203 / 1217

页数：15

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